A Study on Perforation of a Liquid Sheet Caused by Thermocapillary Effect

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  • サーモキャピラリー効果による自由液膜の穿孔に関する研究

Abstract

The perforation of a thin liquid sheet by thermocapillary effect has been investigated. In a radial liquid sheet, which is produced by release of a liquid film spreading on a disk into the air, a laminar-turbulent transition occurs just outside the disk edge. The coherent turbulent structure after the transition forms the extremely thin liquid sheet locally and perforates it. In addition, the perforation is promoted by the impingement of a hot air flow on the thin liquid sheet. This perforation promotion requires specific condition of liquid flow velocity and airflow temperature. This study proposed the theoretical model of thermocapillary induced perforation of the thin liquid sheet and predicted the specific condition for the thermal perforation promotion in the radial liquid sheet. This model representing time diminishing sheet thickness is derived from a momentum balance between inertial force, Marangoni force and Laplace pressure. A simplified model gives the simple algebraic equation expressing the time required to the perforation. The validity of the theory is verified by comparing the theoretical perforation time with that calculated from a numerical simulation based on CIP method. The specific condition for the perforation promotion, which is estimated from the theoretical perforation time, agrees well with experimentally observed one. This agreement demonstrated that the perforation promotion is caused by thermocapillary effect.

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